Explanation And Solution: Lcm Of 10 And 15

LCM of 10 and 15 How to Find LCM of 10, 15? from www.cuemath.com

What is LCM?

LCM stands for Least Common Multiple. It is the smallest positive integer that is divisible by two or more given integers without leaving any remainder. In simpler terms, it is the smallest number that both 10 and 15 can divide into without any remainder.

How to Find LCM?

To find the LCM of two numbers, we need to follow these steps: Step 1: List the multiples of each number until you find a multiple that is common to both. For 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... For 15: 15, 30, 45, 60, 75, 90, 105, ... Step 2: Identify the smallest common multiple from the list. From the above list, we can see that the smallest common multiple of 10 and 15 is 30.

Why is LCM Important?

LCM is an important concept in mathematics. It is used in various mathematical operations like addition, subtraction, multiplication, and division of fractions. LCM is also used in calculating the time taken by two people to complete a task together or in finding the time at which two events will occur simultaneously.

Applications of LCM

LCM is used in various applications such as: 1) Adding and subtracting fractions with different denominators 2) Solving problems related to time and distance 3) Finding the time taken by two people working together to complete a task 4) Calculating the time at which two events will occur simultaneously

Calculation of LCM of 10 and 15

As we have seen above, the LCM of 10 and 15 is 30. Let's see how we arrived at this answer. Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... Multiples of 15: 15, 30, 45, 60, 75, 90, 105, ... From the above list, we can see that the smallest common multiple of 10 and 15 is 30. Therefore, the LCM of 10 and 15 is 30.

Conclusion

In conclusion, LCM is an important concept in mathematics. It is used in various mathematical operations and has applications in real-life scenarios as well. To find the LCM of two numbers, we need to list the multiples of each number until we find a common multiple. Then, we identify the smallest common multiple from the list. In the case of 10 and 15, the LCM is 30.